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kiruha [24]
4 years ago
15

How large an expansion gap should be left between steel railroad rails if they may reach a maximum temperature 36.0°C greater th

an when they were laid? Their original length is 26.0 m.
Physics
1 answer:
JulijaS [17]4 years ago
7 0

Answer:

11 mm

Explanation:

Original length L' = 26 m

Increase in temperature dT = 36.0°C

The gap l =?

The coefficient of linear expansion for steel & = 12 × 10^−6 per °C

The gap will be gotten from the equation of linear expansion.

l = L' x & x dT

substituting, we have

L = 26 x 12 × 10^−6 x 36

L = 0.011 m = 11 mm

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Answer:

A solar panel

Explanation:

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3 years ago
A major league baseball pitcher throws a pitch that follows these parametric equations: x(t) = 142t y(t) = –16t2 + 5t + 5. The t
azamat

Answer:

(a) x'(t)= 142

(b) 142

(c) y'(t)= -32t+5

(d) 96.8 mph

(e) 0.426 s

(f) 0.061 rad

Explanation:

Velocity is a time-derivative of position.

(a) x(t) = 142t

x'(t)= 142

(b) Since x'(t)= 142 is independent of t, it follows it was constant throughout. Hence, at any point or time, the horizontal velocity is 142.

(c) y(t) = - 16t^2+5t+5

y'(t)= -32t+5

(d) When it passes the home plate, the ball has travelled 60.5 ft (from the question). This is horizontal, so it is equivalent to x(t).

x(t)= 142t = 60.5

t=\dfrac{60.5}{142}= 0.426.

In this time, the vertical velocity, y'(t) is

y(t)= -32\times0.426+5 = -8.632

The speed of the ball at thus point is s=\sqrt{142^2+(-8.632)^2}=142 ft/s

To convert this to mph, we multiply the factor 3600/5280

s=142\times\dfrac{3600}{5280}=96.8 \text{ mph}

(e) The time has been determined from (d) above.

t= 0.426

(f) This angle is given by

\theta=\tan^{-1}\dfrac{y'(t)}{x'(t)}

\theta=\tan^{-1}\dfrac{-8.632}{142}=\tan^{-1}-0.0607=3.47 (Note here we are considering the acute angle so we ignore the negative sign)

In radians, this is

\theta=3.47\times\dfrac{\pi}{180}=0.061 \text{ rad}

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4 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
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Why don't the present shapes of the continents fit perfectly into the supercontinent?
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4 years ago
What did you include in your description? Check all that apply
Alexeev081 [22]
I included things
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